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In the following question, two statements, numbered as I and II are given. On solving them, we get quantities I and II respectively. Solve for both the quantities and choose the correct option.
Quantity I: Ratio of age of Ravi after 4 years and that of Jay after 8 years is 13:20. Riya is 12 years younger to Jay and 12 years elder to Ravi then what is the present age of Ravi(in years)?
Quantity II: Train A crosses a platform of length 240 meter and pole in 25 sec and 15 sec respectively, another train B crosses train A running in same direction in 12.5 sec. what is speed (m/sec) of train B?
- a)Quantity I > Quantity II
- b)Quantity I < quantity="" />
- c)Quantity I ≥ Quantity II
- d)Quantity I ≤ Quantity II
- e)Quantity I = Quantity II or the relation can't be determined.
Correct answer is option 'E'. Can you explain this answer?
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Verified Answer
In the following question, two statements, numbered as I and II are g...
Quantity I
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Let present age of Ravi = (13Y - 4)
Thus, present age of Riya = (13Y - 4 + 12) = (13Y + 8) ........ (i)
Let present age of Jay = (20Y - 8)
Thus, present age of Riya = (20Y - 8 - 12) = (20Y - 20) .......... (ii)
By comparing (i) and (ii) we get:
(13Y + 8) = (20Y - 20)
7Y = 28
Y = 4
Thus, present age of Ravi = (13 x 4 - 4) = 48 years
Quantity II:
We have:
Let length of train A be Y meter
Length of platform crossed by train A = 240 meter
Thus, speed of train crossing platform and pole must be equal.
(Y + 240)/25 = Y/15
15Y + 3600 = 25Y
10Y = 3600
Y = 360 meter
Speed of train A = 360/15 = 24 m/sec
Let length of train B be K meter
Speed of train B be S m/sec
Relative speed of train A to B = (24 + S)
Then,
(24 + S) = (K + 360)/12.5
Since, length of train B is not known.
Thus, speed of train B can't be calculated.
Hence, relationship can't be determined.
Most Upvoted Answer
In the following question, two statements, numbered as I and II are g...
Quantity I: Age of Ravi, Jay, and Riya
- Let's assume the present age of Ravi, Jay, and Riya be R, J, and Y respectively.
- According to the given information, the ratio of (Ravi + 4) to (Jay + 8) is 13:20.
- Therefore, we can write the equation as (R+4)/(J+8) = 13/20.
- Also, Riya is 12 years younger than Jay, so J - Y = 12.
- Riya is 12 years elder than Ravi, so Y - R = 12.
- Solving these equations, we get R = 12, J = 24, Y = 12.
- So, the present age of Ravi is 12 years.
Quantity II: Speed of Train B
- Let the speed of train A be x m/sec.
- Train A crosses a platform of 240 meters in 25 sec, so the speed of train A = 240/25 = 9.6 m/sec.
- Train A crosses a pole in 15 sec, so the length of the train A = 9.6 * 15 = 144 meters.
- Train B crosses train A in 12.5 sec. Relative speed = 144/12.5 = 11.52 m/sec.
- Therefore, the speed of train B = 9.6 + 11.52 = 21.12 m/sec.
Conclusion
- The present age of Ravi is 12 years.
- The speed of train B is 21.12 m/sec.
- Since the two quantities are not directly related, the relation cannot be determined. Hence, the correct answer is option E.
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In the following question, two statements, numbered as I and II are given. On solving them, we get quantities I and II respectively. Solve for both the quantities and choose the correct option.Quantity I: Ratio of age of Ravi after 4 years and that of Jay after 8 years is 13:20. Riya is 12 years younger to Jay and 12 years elder to Ravi then what is the present age of Ravi(in years)?Quantity II: Train A crosses a platform of length 240 meter and pole in 25 sec and 15 sec respectively, another train B crosses train A running in same direction in 12.5 sec. what is speed (m/sec) of train B?a)Quantity I > Quantity IIb)Quantity I c)Quantity I ≥ Quantity IId)Quantity I ≤ Quantity IIe)Quantity I = Quantity II or the relation can't be determined.Correct answer is option 'E'. Can you explain this answer?
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In the following question, two statements, numbered as I and II are given. On solving them, we get quantities I and II respectively. Solve for both the quantities and choose the correct option.Quantity I: Ratio of age of Ravi after 4 years and that of Jay after 8 years is 13:20. Riya is 12 years younger to Jay and 12 years elder to Ravi then what is the present age of Ravi(in years)?Quantity II: Train A crosses a platform of length 240 meter and pole in 25 sec and 15 sec respectively, another train B crosses train A running in same direction in 12.5 sec. what is speed (m/sec) of train B?a)Quantity I > Quantity IIb)Quantity I c)Quantity I ≥ Quantity IId)Quantity I ≤ Quantity IIe)Quantity I = Quantity II or the relation can't be determined.Correct answer is option 'E'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about In the following question, two statements, numbered as I and II are given. On solving them, we get quantities I and II respectively. Solve for both the quantities and choose the correct option.Quantity I: Ratio of age of Ravi after 4 years and that of Jay after 8 years is 13:20. Riya is 12 years younger to Jay and 12 years elder to Ravi then what is the present age of Ravi(in years)?Quantity II: Train A crosses a platform of length 240 meter and pole in 25 sec and 15 sec respectively, another train B crosses train A running in same direction in 12.5 sec. what is speed (m/sec) of train B?a)Quantity I > Quantity IIb)Quantity I c)Quantity I ≥ Quantity IId)Quantity I ≤ Quantity IIe)Quantity I = Quantity II or the relation can't be determined.Correct answer is option 'E'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the following question, two statements, numbered as I and II are given. On solving them, we get quantities I and II respectively. Solve for both the quantities and choose the correct option.Quantity I: Ratio of age of Ravi after 4 years and that of Jay after 8 years is 13:20. Riya is 12 years younger to Jay and 12 years elder to Ravi then what is the present age of Ravi(in years)?Quantity II: Train A crosses a platform of length 240 meter and pole in 25 sec and 15 sec respectively, another train B crosses train A running in same direction in 12.5 sec. what is speed (m/sec) of train B?a)Quantity I > Quantity IIb)Quantity I c)Quantity I ≥ Quantity IId)Quantity I ≤ Quantity IIe)Quantity I = Quantity II or the relation can't be determined.Correct answer is option 'E'. Can you explain this answer?.
In the following question, two statements, numbered as I and II are given. On solving them, we get quantities I and II respectively. Solve for both the quantities and choose the correct option.Quantity I: Ratio of age of Ravi after 4 years and that of Jay after 8 years is 13:20. Riya is 12 years younger to Jay and 12 years elder to Ravi then what is the present age of Ravi(in years)?Quantity II: Train A crosses a platform of length 240 meter and pole in 25 sec and 15 sec respectively, another train B crosses train A running in same direction in 12.5 sec. what is speed (m/sec) of train B?a)Quantity I > Quantity IIb)Quantity I c)Quantity I ≥ Quantity IId)Quantity I ≤ Quantity IIe)Quantity I = Quantity II or the relation can't be determined.Correct answer is option 'E'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about In the following question, two statements, numbered as I and II are given. On solving them, we get quantities I and II respectively. Solve for both the quantities and choose the correct option.Quantity I: Ratio of age of Ravi after 4 years and that of Jay after 8 years is 13:20. Riya is 12 years younger to Jay and 12 years elder to Ravi then what is the present age of Ravi(in years)?Quantity II: Train A crosses a platform of length 240 meter and pole in 25 sec and 15 sec respectively, another train B crosses train A running in same direction in 12.5 sec. what is speed (m/sec) of train B?a)Quantity I > Quantity IIb)Quantity I c)Quantity I ≥ Quantity IId)Quantity I ≤ Quantity IIe)Quantity I = Quantity II or the relation can't be determined.Correct answer is option 'E'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the following question, two statements, numbered as I and II are given. On solving them, we get quantities I and II respectively. Solve for both the quantities and choose the correct option.Quantity I: Ratio of age of Ravi after 4 years and that of Jay after 8 years is 13:20. Riya is 12 years younger to Jay and 12 years elder to Ravi then what is the present age of Ravi(in years)?Quantity II: Train A crosses a platform of length 240 meter and pole in 25 sec and 15 sec respectively, another train B crosses train A running in same direction in 12.5 sec. what is speed (m/sec) of train B?a)Quantity I > Quantity IIb)Quantity I c)Quantity I ≥ Quantity IId)Quantity I ≤ Quantity IIe)Quantity I = Quantity II or the relation can't be determined.Correct answer is option 'E'. Can you explain this answer?.
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